Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
103684i |
Isogeny class |
Conductor |
103684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-38253928120576 = -1 · 28 · 710 · 232 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 2 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-319692,-69681116] |
[a1,a2,a3,a4,a6] |
j |
-226796578768/2401 |
j-invariant |
L |
0.60233437051177 |
L(r)(E,1)/r! |
Ω |
0.10038902303782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14812b1 103684h1 |
Quadratic twists by: -7 -23 |